Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (26.3%)

Results

937.0ms	2176×	body	2048	valid
471.0ms	4560×	body	256	valid
235.0ms	1003×	body	1024	valid
87.0ms	517×	body	512	valid

Bogosity

preprocess11.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

14.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.3b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	2.3b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	0	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	inf	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms	N	@	-inf	(atan.f64 (+.f64 N 1))
0.0ms	N	@	0	(atan.f64 (+.f64 N 1))

rewrite128.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`*-commutative`
726×	`associate-*r/`
718×	`unswap-sqr`
594×	`associate-*l/`
520×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	32
2	2594	32

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))

Outputs
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Outputs

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simplify143.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*r/`
1096×	`associate-*l/`
928×	`+-commutative`
868×	`associate-+l-`
706×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8295
1	880	7553
2	4352	7553

Stop Event

1×	node limit

Counts

133 → 212

Calls

Call 1

Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
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(/.f64 (.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (atan.f64 N) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 3) (pow.f64 (pow.f64 (atan.f64 N) 2) 3)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) 1) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(fma.f64 2 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 N) 2) (neg.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 1 N)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 1 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2))
(fabs.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2))
(fabs.f64 (atan.f64 (+.f64 1 N)))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval124.0ms (1.9%)

Compiler: Compiled 5886 to 3789 computations (35.6% saved)

prune72.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	3	213

Error

0.3b

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.3b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
▶	14.8b	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.3b	(exp.f64 (atan.f64 (+.f64 N 1)))
✓	0.5b	(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
✓	2.3b	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
0.0ms	N	@	inf	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
0.0ms	N	@	0	(exp.f64 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	-inf	(exp.f64 (atan.f64 (+.f64 N 1)))

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`*-commutative`
726×	`unswap-sqr`
694×	`associate-*r/`
526×	`associate-*l/`
516×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	220	47
2	2672	47

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (+.f64 N 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))))

simplify145.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+l-`
1050×	`+-commutative`
968×	`associate-+r-`
810×	`associate--r+`
614×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	9997
1	1093	9065
2	5236	9065

Stop Event

1×	node limit

Counts

205 → 250

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) 1))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (neg.f64 (atan.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (neg.f64 (atan.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (-.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (+.f64 N (*.f64 N N))))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) 0)
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)
(*.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6))
(*.f64 (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)
(pow.f64 (E.f64) (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(fma.f64 2 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
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(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (+.f64 N 1))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))) 1)
(atan.f64 (+.f64 N 1))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (+.f64 N 1))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 N 1))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (+.f64 N 1))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (+.f64 N 1))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(atan.f64 (+.f64 N 1))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2))
(atan.f64 (+.f64 N 1))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6))
(atan.f64 (+.f64 N 1))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 N 1))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (+.f64 N 1))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (+.f64 N 1))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (+.f64 N 1))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(fabs.f64 (atan.f64 (+.f64 N 1)))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (E.f64) (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))
(fabs.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 32 to 16 computations (50% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	(fma.f64 N N (+.f64 1 N))
0.0ms	N	@	0	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
0.0ms	N	@	0	(fma.f64 N N (+.f64 1 N))
0.0ms	N	@	inf	(fma.f64 N N (+.f64 1 N))
0.0ms	N	@	-inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`add-sqr-sqrt`
1710×	`*-un-lft-identity`
1586×	`add-cube-cbrt`
1572×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	222	36
2	2215	36

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(fma.f64 N N (+.f64 1 N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))))))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

688×	`distribute-lft-in`
626×	`unswap-sqr`
608×	`distribute-rgt-in`
552×	`associate-/l*`
542×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1259
1	235	1223
2	1014	1219
3	4049	1219

Stop Event

1×	node limit

Counts

67 → 61

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (+.f64 (*.f64 N N) 1) N)
(+.f64 (+.f64 (*.f64 N N) N) 1)
(+.f64 (.f64 (.f64 N N) 1) (+.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)
(*.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (fma.f64 N N (+.f64 1 N)) 1)
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (.f64 N N) (+.f64 1 N)))))
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1)
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))

Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) 1) N)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) N) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (.f64 (.f64 N N) 1) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 1 (fma.f64 N N (+.f64 1 N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (fma.f64 N N (+.f64 1 N)) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (.f64 N N) (+.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (.f64 N N) (.f64 N N) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (*.f64 N (+.f64 1 N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	1.2b	(+.f64 N (-.f64 1 N))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(+.f64 (+.f64 N 1) (*.f64 N N))
0.0ms	N	@	0	(+.f64 (+.f64 N 1) (*.f64 N N))
0.0ms	N	@	-inf	(+.f64 (+.f64 N 1) (*.f64 N N))

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-*l/`
1052×	`*-commutative`
702×	`associate-/r*`
530×	`associate-/r/`
372×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	231	61
2	3436	61

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs
(+.f64 N (-.f64 1 N))
(+.f64 (+.f64 N 1) (*.f64 N N))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 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*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (*.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 N (-.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (*.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (*.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (pow.f64 N 6) (pow.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) 3))) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (*.f64 (*.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (-.f64 1 N)) (/.f64 (+.f64 N (+.f64 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 N 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))))

simplify119.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1188×	`+-commutative`
854×	`associate-+r-`
784×	`associate-+l-`
492×	`distribute-lft-in`
472×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	8462
1	1688	7700
2	6397	7640

Stop Event

1×	node limit

Counts

238 → 302

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(-.f64 1 (-.f64 N N))
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(-.f64 (+.f64 N 1) N)
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N)))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))
(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)
(-.f64 (+.f64 (+.f64 N 1) 0) N)
(*.f64 1 (+.f64 N (-.f64 1 N)))
(*.f64 (+.f64 N (-.f64 1 N)) 1)
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))
(.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))
(.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))
(.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)))
(.f64 (/.f64 1 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N)))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (.f64 N (-.f64 1 N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (pow.f64 N 6) (pow.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) 3))) (-.f64 (+.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(/.f64 1 (/.f64 1 (+.f64 N (-.f64 1 N))))
(/.f64 (+.f64 N (-.f64 1 N)) (/.f64 (+.f64 N (+.f64 N -1)) (+.f64 N (+.f64 N -1))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (+.f64 N (+.f64 N -1)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(/.f64 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))) (/.f64 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))) (+.f64 N (-.f64 1 N))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (/.f64 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))) (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) (+.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 N N (+.f64 N 1))
(fma.f64 1 N (+.f64 1 (*.f64 N N)))
(fma.f64 1 (+.f64 N 1) (*.f64 N N))
(fma.f64 1 (*.f64 N N) (+.f64 N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 1 (-.f64 N N))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (+.f64 N 1) N)
1
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))
1
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (*.f64 (/.f64 N (+.f64 1 N)) N) N))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 N))) (*.f64 N (/.f64 N (+.f64 1 N))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (/.f64 -1 (+.f64 N -1))) N)
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (/.f64 -1 (+.f64 N -1))) N)
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)
1
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N)))
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (*.f64 (/.f64 N (+.f64 1 N)) N) N))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 N))) (*.f64 N (/.f64 N (+.f64 1 N))))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)
1
(-.f64 (+.f64 (+.f64 N 1) 0) N)
1
(*.f64 1 (+.f64 N (-.f64 1 N)))
1
(*.f64 (+.f64 N (-.f64 1 N)) 1)
1
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))
1
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))
1
(.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))
1
(.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)))
1
(.f64 (/.f64 1 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N)))
1
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (.f64 N (-.f64 1 N)))))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N (pow.f64 (-.f64 1 N) 2)) (*.f64 N (-.f64 1 N))))
(/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(/.f64 (*.f64 (fma.f64 2 N -1) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (pow.f64 (-.f64 1 N) 2) (.f64 (-.f64 1 (+.f64 N N)) (-.f64 1 (+.f64 N N)))))) (-.f64 (.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (pow.f64 (-.f64 1 N) 2) (.f64 (-.f64 1 (+.f64 N N)) (-.f64 1 (+.f64 N N)))))) (fma.f64 N N (.f64 (+.f64 N -1) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (pow.f64 N 6) (pow.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) 3))) (-.f64 (+.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
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(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (-.f64 (+.f64 1 (.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 N N N)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) 1) (fma.f64 N N N)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 N N)) 3)) 1) (+.f64 (.f64 N N) (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N (+.f64 1 (.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 N N)) 3)) (fma.f64 N N (.f64 (+.f64 1 (.f64 N N)) (-.f64 (+.f64 1 (.f64 N N)) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1) (neg.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) 1) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 (sqrt.f64 (-.f64 (+.f64 1 N) (*.f64 N N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (sqrt.f64 (-.f64 (+.f64 1 N) (.f64 N N)))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N))))))
(.f64 (/.f64 (hypot.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3/2)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N)))))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 (cbrt.f64 (-.f64 (+.f64 1 N) (*.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 (+.f64 1 N) (.f64 N N)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (pow.f64 N 4) (pow.f64 N 4))) (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (.f64 (-.f64 (+.f64 1 N) (.f64 N N)) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (+.f64 1 (fma.f64 N N N)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (pow.f64 N 4) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 N) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (.f64 (-.f64 (+.f64 1 N) (.f64 N N)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (.f64 (-.f64 (+.f64 1 N) (.f64 N N)) (fma.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2) (+.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (.f64 (pow.f64 N 6) (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N)))) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N)))) (+.f64 (pow.f64 (+.f64 1 N) 6) (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) (fma.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (pow.f64 (+.f64 1 N) 6)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) (+.f64 1 (-.f64 N (*.f64 N N))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) N) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (*.f64 (+.f64 N (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))
(.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(fabs.f64 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 N 1))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (+.f64 1 (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (+.f64 N 1) (*.f64 N N))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (*.f64 N N) (+.f64 N 1))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval293.0ms (4.4%)

Compiler: Compiled 16562 to 10657 computations (35.7% saved)

prune107.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	635	7	642
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	638	7	645

Error

0.3b

Counts

645 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	1.6b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	28.8b	(atan2.f64 (+.f64 N (-.f64 1 N)) (-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (.f64 N N))))))
	26.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N))))))
▶	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
▶	32.1b	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.3b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 240 to 166 computations (30.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 N N) N)
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))

Compiler

Compiled 39 to 14 computations (64.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(+.f64 (*.f64 N N) N)
0.0ms	N	@	0	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
0.0ms	N	@	0	(+.f64 (*.f64 N N) N)
0.0ms	N	@	-inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
0.0ms	N	@	inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`associate-*r/`
792×	`*-commutative`
746×	`associate-*l/`
674×	`distribute-lft-in`
634×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	239	30
2	2786	30

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
(+.f64 (*.f64 N N) N)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (fma.f64 N N N) -1)) (+.f64 (/.f64 1 (+.f64 (fma.f64 N N N) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 N 1))) (/.f64 N (/.f64 (*.f64 N (-.f64 N 1)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1)))) (+.f64 (*.f64 (pow.f64 N 4) (pow.f64 N 4)) (+.f64 (pow.f64 N 4) (pow.f64 N 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 6) 1)) (/.f64 1 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (pow.f64 N 6) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 N 3) 3)) (/.f64 1 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))) (+.f64 (*.f64 (pow.f64 N 6) (pow.f64 N 6)) (-.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 6) (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1) (*.f64 N (-.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) (sqrt.f64 (*.f64 N (-.f64 N 1)))) (sqrt.f64 (*.f64 N (-.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) (*.f64 (cbrt.f64 (*.f64 N (-.f64 N 1))) (cbrt.f64 (*.f64 N (-.f64 N 1))))) (cbrt.f64 (*.f64 N (-.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) (+.f64 N (sqrt.f64 N))) (-.f64 N (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 1) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (sqrt.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))) (sqrt.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))) (cbrt.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) (*.f64 N (neg.f64 (-.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (neg.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)))))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-*r/`
1334×	`associate-*l/`
1292×	`distribute-lft-in`
868×	`associate-/r/`
840×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4435
1	876	4045
2	3559	4037

Stop Event

1×	node limit

Counts

141 → 180

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 2)
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (fma.f64 N N N) -1)) (+.f64 (/.f64 1 (+.f64 (fma.f64 N N N) -1)) 1))
(-.f64 (/.f64 (pow.f64 N 4) (.f64 N (-.f64 N 1))) (/.f64 N (/.f64 (.f64 N (-.f64 N 1)) N)))
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 1 N)))
(.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (.f64 N (sqrt.f64 N))))
(.f64 (sqrt.f64 N) (+.f64 (.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 4))))
(.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 N)))
(.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 N)))
(.f64 (cbrt.f64 N) (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)))
(.f64 (cbrt.f64 N) (+.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N (pow.f64 (cbrt.f64 N) 2))))
(.f64 (cbrt.f64 N) (+.f64 (.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (+.f64 1 N) N)
(.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (/.f64 1 (*.f64 N (-.f64 N 1))))
(.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N))
(.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N))
(.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 1 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (+.f64 (pow.f64 N 6) (pow.f64 N 3)))
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (*.f64 N (-.f64 (pow.f64 N 3) N))) (fma.f64 N N N))
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (-.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))))
(.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (-.f64 (.f64 (pow.f64 N 4) (pow.f64 N 4)) (.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (.f64 N N) (pow.f64 N 3))))) (+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (pow.f64 N 3)))
(.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) 3))) (+.f64 (.f64 (pow.f64 N 4) (pow.f64 N 4)) (.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (pow.f64 N 4)))))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(/.f64 (.f64 N N) (/.f64 (.f64 N (-.f64 N 1)) (-.f64 (*.f64 N N) 1)))
(/.f64 (fma.f64 N N N) (/.f64 (.f64 N (-.f64 N 1)) (.f64 N (-.f64 N 1))))
(/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (-.f64 N 1)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) 1))
(/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (fma.f64 N N N)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (/.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)))))
(/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 (.f64 N (-.f64 N 1)) (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (cbrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)))) (/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (cbrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))) (/.f64 (.f64 N (-.f64 N 1)) (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))))
(/.f64 (.f64 N (-.f64 N (pow.f64 N 3))) (.f64 N (-.f64 1 N)))
(/.f64 (.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 6) 1)) (.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (-.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 (.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 4) 1)) (.f64 (.f64 N (-.f64 N 1)) (.f64 N (+.f64 (pow.f64 N 3) N))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 N 3) 3)) (.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (.f64 (pow.f64 N 6) (pow.f64 N 6)) (-.f64 (pow.f64 N 6) (.f64 (pow.f64 N 6) (pow.f64 N 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 N 6)) (.f64 (.f64 N (-.f64 N 1)) (+.f64 (*.f64 (pow.f64 N 4) (pow.f64 N 4)) (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (neg.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (.f64 N (neg.f64 (-.f64 N 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (.f64 N (-.f64 (.f64 N N) 1)) (-.f64 N 1))
(/.f64 (.f64 N (-.f64 1 (.f64 N N))) (-.f64 1 N))
(/.f64 (.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (.f64 N (-.f64 N 1))))
(/.f64 (.f64 (hypot.f64 N (sqrt.f64 N)) (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)))) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (.f64 (hypot.f64 N (sqrt.f64 N)) (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))) (sqrt.f64 (*.f64 N (-.f64 N 1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))) (cbrt.f64 (*.f64 N (-.f64 N 1))))
(/.f64 (.f64 (.f64 N (-.f64 N (pow.f64 N 3))) 1) (*.f64 N (-.f64 1 N)))
(/.f64 (.f64 (neg.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1) (*.f64 N (neg.f64 (-.f64 N 1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) 1) (neg.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (hypot.f64 N (sqrt.f64 N))) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (hypot.f64 N (sqrt.f64 N))) (sqrt.f64 (*.f64 N (-.f64 N 1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2)) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2)) (cbrt.f64 (*.f64 N (-.f64 N 1))))
(/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1))
(/.f64 (.f64 (-.f64 1 (.f64 N N)) N) (-.f64 1 N))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (.f64 N (-.f64 N 1))))
(/.f64 (.f64 (.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 4) 1)) (/.f64 1 (.f64 N (-.f64 N 1)))) (.f64 N (+.f64 (pow.f64 N 3) N)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 N 6)) (/.f64 1 (.f64 N (-.f64 N 1)))) (+.f64 (*.f64 (pow.f64 N 4) (pow.f64 N 4)) (+.f64 (pow.f64 N 4) (pow.f64 N 6))))
(/.f64 (.f64 (.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 6) 1)) (/.f64 1 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (pow.f64 N 6) (pow.f64 N 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 N 3) 3)) (/.f64 1 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))) (+.f64 (.f64 (pow.f64 N 6) (pow.f64 N 6)) (-.f64 (pow.f64 N 6) (.f64 (pow.f64 N 6) (pow.f64 N 3)))))
(/.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 1) (.f64 N (-.f64 N 1)))
(/.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N) (-.f64 N 1))
(/.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (sqrt.f64 (.f64 N (-.f64 N 1)))) (sqrt.f64 (*.f64 N (-.f64 N 1))))
(/.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 (cbrt.f64 (.f64 N (-.f64 N 1))) (cbrt.f64 (.f64 N (-.f64 N 1))))) (cbrt.f64 (*.f64 N (-.f64 N 1))))
(/.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) (+.f64 N (sqrt.f64 N))) (-.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 1) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (.f64 (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(neg.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (neg.f64 (-.f64 N 1)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (neg.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)

Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(fma.f64 N N N)
(-.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))
(fma.f64 N N N)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 N))
(+.f64 N (expm1.f64 (log1p.f64 (*.f64 N N))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 2)
(fma.f64 N N N)
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (fma.f64 N N N) -1)) (+.f64 (/.f64 1 (+.f64 (fma.f64 N N N) -1)) 1))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 -1 (fma.f64 N N N))) (+.f64 1 (/.f64 1 (+.f64 -1 (fma.f64 N N N)))))
(+.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) (/.f64 1 (+.f64 N (fma.f64 N N -1)))) -1)
(+.f64 -1 (-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) (/.f64 1 (+.f64 N (fma.f64 N N -1)))))
(-.f64 (/.f64 (pow.f64 N 4) (.f64 N (-.f64 N 1))) (/.f64 N (/.f64 (.f64 N (-.f64 N 1)) N)))
(fma.f64 N N N)
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 N))
(+.f64 N (expm1.f64 (log1p.f64 (*.f64 N N))))
(*.f64 1 (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 N (+.f64 1 N))
(fma.f64 N N N)
(*.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 1 N)))
(fma.f64 N N N)
(.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (.f64 N (sqrt.f64 N))))
(fma.f64 N N N)
(.f64 (sqrt.f64 N) (+.f64 (.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 4))))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 N))))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 4))))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 N)))
(fma.f64 N N N)
(.f64 (cbrt.f64 N) (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)))
(fma.f64 N N N)
(.f64 (cbrt.f64 N) (+.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N (pow.f64 (cbrt.f64 N) 2))))
(fma.f64 N N N)
(.f64 (cbrt.f64 N) (+.f64 (.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) 2)))
(fma.f64 N N N)
(*.f64 (+.f64 1 N) N)
(fma.f64 N N N)
(.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (/.f64 1 (*.f64 N (-.f64 N 1))))
(fma.f64 N N N)
(.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N))
(fma.f64 N N N)
(.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N))
(fma.f64 N N N)
(.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N)))
(fma.f64 N N N)
(.f64 (/.f64 1 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (+.f64 (pow.f64 N 6) (pow.f64 N 3)))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (*.f64 N (-.f64 (pow.f64 N 3) N))) (fma.f64 N N N))
(fma.f64 N N N)
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (-.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))))
(.f64 (/.f64 N (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (-.f64 (pow.f64 N 3) N))) (+.f64 (pow.f64 N 4) (.f64 N (fma.f64 N N N))))
(/.f64 (.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (-.f64 (pow.f64 N 6) (pow.f64 N 3)))
(.f64 (/.f64 (.f64 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)) N) (-.f64 (pow.f64 N 6) (pow.f64 N 3))) (-.f64 (pow.f64 N 3) N))
(.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (-.f64 (.f64 (pow.f64 N 4) (pow.f64 N 4)) (.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (.f64 N N) (pow.f64 N 3))))) (+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (pow.f64 N 3)))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 8) (.f64 (fma.f64 N N (neg.f64 (pow.f64 N 3))) (fma.f64 N N (neg.f64 (pow.f64 N 3)))))) (fma.f64 N (-.f64 (pow.f64 N 3) N) (pow.f64 N 3)))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 8) (.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (.f64 N N) (pow.f64 N 3))))) (fma.f64 N (-.f64 (pow.f64 N 3) N) (pow.f64 N 3)))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 8) (.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (.f64 N N) (pow.f64 N 3))))) (.f64 N (-.f64 (.f64 N (fma.f64 N N N)) N)))
(.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) 3))) (+.f64 (.f64 (pow.f64 N 4) (pow.f64 N 4)) (.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (pow.f64 N 4)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (fma.f64 N N (neg.f64 (pow.f64 N 3))) 3))) (+.f64 (pow.f64 N 8) (.f64 (fma.f64 N N (neg.f64 (pow.f64 N 3))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4))))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) 3) (pow.f64 N 12))) (fma.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (pow.f64 N 8)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) (-.f64 (.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (pow.f64 N 8))) (+.f64 (pow.f64 (-.f64 (.f64 N N) (pow.f64 N 3)) 3) (pow.f64 N 12)))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(fma.f64 N N N)
(/.f64 (.f64 N N) (/.f64 (.f64 N (-.f64 N 1)) (-.f64 (*.f64 N N) 1)))
(fma.f64 N N N)
(/.f64 (fma.f64 N N N) (/.f64 (.f64 N (-.f64 N 1)) (.f64 N (-.f64 N 1))))
(fma.f64 N N N)
(/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (-.f64 N 1)))
(fma.f64 N N N)
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) 1))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (fma.f64 N N N)))
(fma.f64 N N N)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (/.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6))))
(*.f64 (hypot.f64 (pow.f64 N 3) (pow.f64 N 3/2)) (/.f64 (hypot.f64 (pow.f64 N 3) (pow.f64 N 3/2)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 (.f64 N (-.f64 N 1)) (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))))
(.f64 (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (.f64 N (+.f64 N -1))) (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (.f64 N (+.f64 N -1))))
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(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(fma.f64 N N N)
(neg.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (neg.f64 (-.f64 N 1)))))
(*.f64 (/.f64 N N) (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(neg.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (neg.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(fabs.f64 (fma.f64 N N N))
(log.f64 (exp.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(fma.f64 N N N)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(fma.f64 N N N)
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(exp.f64 (log.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 1 N (*.f64 N N))
(fma.f64 N N N)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 N N N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 4))))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)

localize8.0ms (0.1%)

Compiler: Compiled 18 to 9 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.3b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	-inf	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1730×	`add-cube-cbrt`
1716×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	174	21
2	2388	21

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

830×	`*-commutative`
752×	`associate-r`
604×	`associate-l`
584×	`distribute-lft-in`
520×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	750
1	100	630
2	404	630
3	2166	630
4	5384	630

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 N 1) 2)
	1.2b	(+.f64 N (-.f64 1 N))
✓	16.7b	(/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (*.f64 N N))))
✓	23.8b	(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))

Compiler

Compiled 119 to 63 computations (47.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms	N	@	inf	(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms	N	@	inf	(/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms	N	@	-inf	(/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms	N	@	-inf	(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`associate-/l*`
1036×	`associate-/r/`
368×	`associate-+l+`
318×	`add-sqr-sqrt`
310×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	323	73
2	4518	73

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (*.f64 N N))))
(pow.f64 (+.f64 N 1) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 4) (/.f64 1 (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N N) (*.f64 (*.f64 N N) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (*.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 N 8)) (*.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 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(2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 N (+.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (+.f64 N (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 N (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (+.f64 N (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (*.f64 N N)) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (+.f64 1 (*.f64 N N))) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 N 1) N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 N (*.f64 N N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 N 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (+.f64 N (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (-.f64 (pow.f64 N 4) (*.f64 (-.f64 1 N) (-.f64 1 N)))) (+.f64 (fma.f64 N N -1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3))) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (-.f64 1 N) (-.f64 1 N)) (*.f64 (*.f64 N N) (-.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N 1) (/.f64 1 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 N 1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 N 1)) (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 N 1)) (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 N N -1) (/.f64 (*.f64 (+.f64 N -1) (+.f64 N -1)) (fma.f64 N N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 N N -1) (/.f64 (+.f64 N -1) (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 N N -1) (/.f64 (*.f64 (+.f64 N -1) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (*.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N -1)) (fma.f64 N N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 N 1) (sqrt.f64 (+.f64 N 1))) (/.f64 1 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (*.f64 (+.f64 N -1) (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 1 (pow.f64 N 3))) (*.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (cbrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 N 1) (fma.f64 N N -1)) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 N 1) (+.f64 1 (pow.f64 N 3))) (fma.f64 N N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 N N -1) (+.f64 N 1)) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (fma.f64 N N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 N N -1) (+.f64 1 (pow.f64 N 3))) (*.f64 (+.f64 N -1) (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N -1)) (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 N 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 N 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 N 1) 2)))))))

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-+r+`
1406×	`associate-+l+`
1090×	`+-commutative`
586×	`*-commutative`
524×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	9547
1	1487	8773
2	5842	8765

Stop Event

1×	node limit

Counts

213 → 315

Calls

Call 1

Inputs
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 5)) (pow.f64 N 4))
(+.f64 (.f64 -1 (pow.f64 N 5)) (+.f64 (.f64 2 (pow.f64 N 6)) (pow.f64 N 4)))
(+.f64 (.f64 -1 (pow.f64 N 5)) (+.f64 (.f64 -3 (pow.f64 N 7)) (+.f64 (*.f64 2 (pow.f64 N 6)) (pow.f64 N 4))))
(*.f64 -1 (pow.f64 N 2))
(+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) 2)
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) (+.f64 2 (*.f64 3 (/.f64 1 N))))
(*.f64 -1 (pow.f64 N 2))
(+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) 2)
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) (+.f64 2 (*.f64 3 (/.f64 1 N))))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4))))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 N))))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 5 (/.f64 1 (pow.f64 N 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (.f64 5 (/.f64 1 (pow.f64 N 2))) (*.f64 8 (/.f64 1 (pow.f64 N 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 N))))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 5 (/.f64 1 (pow.f64 N 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (.f64 5 (/.f64 1 (pow.f64 N 2))) (*.f64 8 (/.f64 1 (pow.f64 N 3)))))))
1
(+.f64 1 (*.f64 2 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 2 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 2 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))) 1)
(*.f64 (pow.f64 N 4) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(*.f64 1 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))
(.f64 (.f64 N N) (.f64 (.f64 N N) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))) 1)
(.f64 (/.f64 (.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (*.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (pow.f64 N 4))
(*.f64 (neg.f64 (pow.f64 N 4)) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))))
(*.f64 (/.f64 (pow.f64 N 4) 1) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 N 4) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
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(.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (fma.f64 N N (-.f64 1 N)))
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(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)) (-.f64 N (*.f64 N N))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (-.f64 (pow.f64 N 4) (*.f64 (-.f64 1 N) (-.f64 1 N)))) (+.f64 (fma.f64 N N -1) N))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3))) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (-.f64 1 N) (-.f64 1 N)) (.f64 (*.f64 N N) (-.f64 1 N)))))
(/.f64 1 (/.f64 1 (pow.f64 (+.f64 N 1) 2)))
(/.f64 (+.f64 N 1) (/.f64 1 (+.f64 N 1)))
(/.f64 (pow.f64 (+.f64 N 1) 2) 1)
(/.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 N 1)) (+.f64 N 1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1) 4))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 N 1)) (+.f64 N 1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))))
(/.f64 (fma.f64 N N -1) (/.f64 (*.f64 (+.f64 N -1) (+.f64 N -1)) (fma.f64 N N -1)))
(/.f64 (fma.f64 N N -1) (/.f64 (+.f64 N -1) (+.f64 N 1)))
(/.f64 (fma.f64 N N -1) (/.f64 (*.f64 (+.f64 N -1) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (*.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N 1)))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N -1)) (fma.f64 N N -1)))
(/.f64 (*.f64 (+.f64 N 1) (sqrt.f64 (+.f64 N 1))) (/.f64 1 (sqrt.f64 (+.f64 N 1))))
(/.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (.f64 (+.f64 N -1) (+.f64 N -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 1 (pow.f64 N 3))) (.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N))))
(/.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (cbrt.f64 (+.f64 N 1))))
(/.f64 (*.f64 (+.f64 N 1) (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 (*.f64 (+.f64 N 1) (+.f64 1 (pow.f64 N 3))) (fma.f64 N N (-.f64 1 N)))
(/.f64 (*.f64 (fma.f64 N N -1) (+.f64 N 1)) (+.f64 N -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (fma.f64 N N (-.f64 1 N)))
(/.f64 (.f64 (fma.f64 N N -1) (+.f64 1 (pow.f64 N 3))) (.f64 (+.f64 N -1) (fma.f64 N N (-.f64 1 N))))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N -1)) (.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N -1)))
(sqrt.f64 (pow.f64 (+.f64 N 1) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 N 1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 N 1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 N 1) 2)))
(exp.f64 (*.f64 2 (log1p.f64 N)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 N)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 N 1) 2)))

Outputs
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 5)) (pow.f64 N 4))
(fma.f64 -1 (pow.f64 N 5) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (pow.f64 N 5))
(+.f64 (.f64 -1 (pow.f64 N 5)) (+.f64 (.f64 2 (pow.f64 N 6)) (pow.f64 N 4)))
(fma.f64 -1 (pow.f64 N 5) (fma.f64 2 (pow.f64 N 6) (pow.f64 N 4)))
(-.f64 (fma.f64 2 (pow.f64 N 6) (pow.f64 N 4)) (pow.f64 N 5))
(+.f64 (.f64 -1 (pow.f64 N 5)) (+.f64 (.f64 -3 (pow.f64 N 7)) (+.f64 (*.f64 2 (pow.f64 N 6)) (pow.f64 N 4))))
(fma.f64 -1 (pow.f64 N 5) (fma.f64 -3 (pow.f64 N 7) (fma.f64 2 (pow.f64 N 6) (pow.f64 N 4))))
(-.f64 (fma.f64 -3 (pow.f64 N 7) (fma.f64 2 (pow.f64 N 6) (pow.f64 N 4))) (pow.f64 N 5))
(*.f64 -1 (pow.f64 N 2))
(neg.f64 (*.f64 N N))
(*.f64 N (neg.f64 N))
(+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2)))
(.f64 -1 (.f64 (+.f64 N 1) N))
(neg.f64 (fma.f64 N N N))
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) 2)
(+.f64 (.f64 -1 (.f64 (+.f64 N 1) N)) -2)
(fma.f64 -1 (fma.f64 N N N) -2)
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) (+.f64 2 (*.f64 3 (/.f64 1 N))))
(-.f64 (.f64 -1 (.f64 (+.f64 N 1) N)) (+.f64 2 (/.f64 3 N)))
(+.f64 (fma.f64 -1 (fma.f64 N N N) -2) (/.f64 -3 N))
(*.f64 -1 (pow.f64 N 2))
(neg.f64 (*.f64 N N))
(*.f64 N (neg.f64 N))
(+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2)))
(.f64 -1 (.f64 (+.f64 N 1) N))
(neg.f64 (fma.f64 N N N))
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) 2)
(+.f64 (.f64 -1 (.f64 (+.f64 N 1) N)) -2)
(fma.f64 -1 (fma.f64 N N N) -2)
(-.f64 (+.f64 (.f64 -1 N) (.f64 -1 (pow.f64 N 2))) (+.f64 2 (*.f64 3 (/.f64 1 N))))
(-.f64 (.f64 -1 (.f64 (+.f64 N 1) N)) (+.f64 2 (/.f64 3 N)))
(+.f64 (fma.f64 -1 (fma.f64 N N N) -2) (/.f64 -3 N))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(fma.f64 N N (+.f64 N 1))
(+.f64 N (+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4))))
(+.f64 (+.f64 N 1) (+.f64 (pow.f64 N 4) (*.f64 N N)))
(+.f64 (+.f64 N 1) (fma.f64 N N (pow.f64 N 4)))
(+.f64 (pow.f64 N 4) (fma.f64 N N (+.f64 N 1)))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 N))))
(+.f64 -1 (neg.f64 (/.f64 3 N)))
(+.f64 -1 (/.f64 -3 N))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 5 (/.f64 1 (pow.f64 N 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 3 N)) (/.f64 5 (*.f64 N N))))
(-.f64 -1 (+.f64 (/.f64 3 N) (/.f64 (/.f64 5 N) N)))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (.f64 5 (/.f64 1 (pow.f64 N 2))) (*.f64 8 (/.f64 1 (pow.f64 N 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 3 N)) (+.f64 (/.f64 5 (*.f64 N N)) (/.f64 8 (pow.f64 N 3)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 3 N) (/.f64 (/.f64 5 N) N)) (/.f64 8 (pow.f64 N 3))))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 N))))
(+.f64 -1 (neg.f64 (/.f64 3 N)))
(+.f64 -1 (/.f64 -3 N))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 5 (/.f64 1 (pow.f64 N 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 3 N)) (/.f64 5 (*.f64 N N))))
(-.f64 -1 (+.f64 (/.f64 3 N) (/.f64 (/.f64 5 N) N)))
(neg.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (.f64 5 (/.f64 1 (pow.f64 N 2))) (*.f64 8 (/.f64 1 (pow.f64 N 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 3 N)) (+.f64 (/.f64 5 (*.f64 N N)) (/.f64 8 (pow.f64 N 3)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 3 N) (/.f64 (/.f64 5 N) N)) (/.f64 8 (pow.f64 N 3))))
1
(+.f64 1 (*.f64 2 N))
(+.f64 1 (*.f64 N 2))
(fma.f64 N 2 1)
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 2 N))
(+.f64 (.f64 N 2) (.f64 N N))
(*.f64 N (+.f64 N 2))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 2 N))
(+.f64 (.f64 N 2) (.f64 N N))
(*.f64 N (+.f64 N 2))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))) 1)
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 (pow.f64 N 4) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 1 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(.f64 (.f64 N N) (.f64 (.f64 N N) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))) 1)
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(.f64 (/.f64 (.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (*.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(pow.f64 (/.f64 (*.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)
(pow.f64 (*.f64 (/.f64 N (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) N) 2)
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 (cbrt.f64 (pow.f64 N 8)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) 2))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (pow.f64 N 4))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 (neg.f64 (pow.f64 N 4)) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))))
(neg.f64 (*.f64 (pow.f64 N 4) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (fma.f64 N N -1) N))
(*.f64 (/.f64 (pow.f64 N 4) 1) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 N 4) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(pow.f64 (/.f64 (*.f64 N N) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)
(pow.f64 (*.f64 (/.f64 N (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) N) 2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2))) (/.f64 (pow.f64 N 4) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(/.f64 (/.f64 (pow.f64 N 4) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2)))
(.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (fma.f64 N N (-.f64 1 N)))
(/.f64 (.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 1 N))) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)))
(/.f64 (pow.f64 N 4) (/.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (.f64 N (-.f64 1 N)) 3))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (-.f64 (fma.f64 N N 1) N)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (*.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 1 N))))
(/.f64 (.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 1 N))) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)))
(/.f64 (pow.f64 N 4) (/.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (.f64 (pow.f64 N 4) (+.f64 (pow.f64 (-.f64 N (.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (.f64 N (-.f64 1 N)) 3))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (-.f64 (fma.f64 N N 1) N)))
(*.f64 (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))) (neg.f64 (pow.f64 N 4)))
(neg.f64 (*.f64 (pow.f64 N 4) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (fma.f64 N N -1) N))
(.f64 (/.f64 N (/.f64 1 N)) (/.f64 (.f64 N N) (-.f64 N (fma.f64 N N -1))))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(.f64 (/.f64 (.f64 N N) (-.f64 N (fma.f64 N N -1))) (*.f64 N N))
(/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))
(.f64 (/.f64 (.f64 N N) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2))) (/.f64 (*.f64 N N) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2))) (/.f64 (pow.f64 N 4) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(/.f64 (/.f64 (pow.f64 N 4) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) 1) (/.f64 (cbrt.f64 (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 (cbrt.f64 (pow.f64 N 8)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (cbrt.f64 (pow.f64 N 4)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (pow.f64 N 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2))) (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 N 8)) (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (/.f64 (cbrt.f64 (pow.f64 N 8)) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (pow.f64 N 4)))
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 (cbrt.f64 (pow.f64 N 8)) (-.f64 N (fma.f64 N N -1))))
(.f64 (/.f64 (pow.f64 N 4) (neg.f64 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)))) (neg.f64 (fma.f64 N N (-.f64 1 N))))
(/.f64 (.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)) (+.f64 -1 (pow.f64 (.f64 N (-.f64 1 N)) 2)))
(.f64 (/.f64 (pow.f64 N 4) (neg.f64 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(neg.f64 (.f64 (/.f64 (pow.f64 N 4) (+.f64 -1 (neg.f64 (pow.f64 (-.f64 N (.f64 N N)) 3)))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(.f64 (+.f64 (pow.f64 (.f64 N (-.f64 1 N)) 2) (-.f64 (fma.f64 N N 1) N)) (/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 -1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))))
(.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 (-.f64 N (.f64 N N)) 2) 1)) (-.f64 N (+.f64 1 (*.f64 N N))))
(/.f64 (.f64 (pow.f64 N 4) (-.f64 (-.f64 N 1) (.f64 N N))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) -1))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 -1 (pow.f64 (.f64 N (-.f64 1 N)) 2))) (-.f64 N (fma.f64 N N 1)))
(.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 N (+.f64 1 (.f64 N N))))
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(.f64 (/.f64 (.f64 (+.f64 N 1) (+.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3))) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (-.f64 1 N) (-.f64 1 N)) (.f64 (*.f64 N N) (-.f64 1 N)))))
(.f64 (/.f64 (+.f64 N 1) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (pow.f64 N 3)))) (+.f64 (pow.f64 N 4) (.f64 (-.f64 1 N) (-.f64 1 (*.f64 (+.f64 N 1) N)))))
(.f64 (.f64 (/.f64 (+.f64 N 1) (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3))) (+.f64 1 (pow.f64 N 3))) (fma.f64 (-.f64 1 N) (-.f64 1 (fma.f64 N N N)) (pow.f64 N 4)))
(.f64 (/.f64 (.f64 (fma.f64 N N -1) (+.f64 N 1)) (fma.f64 N N -1)) (+.f64 N 1))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(.f64 (/.f64 (.f64 (fma.f64 N N -1) (+.f64 N 1)) (-.f64 (pow.f64 N 3) 1)) (+.f64 N (+.f64 1 (*.f64 N N))))
(.f64 (+.f64 (+.f64 N 1) (.f64 N N)) (/.f64 (+.f64 N 1) (/.f64 (+.f64 (pow.f64 N 3) -1) (fma.f64 N N -1))))
(/.f64 (*.f64 (+.f64 N 1) (fma.f64 N N -1)) (/.f64 (+.f64 -1 (pow.f64 N 3)) (fma.f64 N N (+.f64 N 1))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (-.f64 N (fma.f64 N N -1)))
(/.f64 (.f64 (.f64 (+.f64 N 1) (+.f64 1 (pow.f64 N 3))) (-.f64 N (fma.f64 N N -1))) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))
(.f64 (-.f64 N (fma.f64 N N -1)) (.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))) (+.f64 N 1)))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)) (-.f64 N (*.f64 N N))))
(.f64 (/.f64 (+.f64 N 1) (/.f64 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3)) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (+.f64 (pow.f64 (-.f64 N (.f64 N N)) 2) (-.f64 N (.f64 N N)))))
(.f64 (.f64 (/.f64 (+.f64 N 1) (-.f64 1 (pow.f64 (.f64 N (-.f64 1 N)) 3))) (+.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (.f64 N (-.f64 1 N)) 2) (+.f64 1 (*.f64 N (-.f64 1 N)))))
(.f64 (.f64 (/.f64 (+.f64 N 1) (-.f64 1 (pow.f64 (.f64 N (-.f64 1 N)) 3))) (+.f64 1 (pow.f64 N 3))) (+.f64 1 (.f64 (-.f64 N (fma.f64 N N -1)) (*.f64 N (-.f64 1 N)))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (-.f64 (pow.f64 N 4) (*.f64 (-.f64 1 N) (-.f64 1 N)))) (+.f64 (fma.f64 N N -1) N))
(.f64 (/.f64 (+.f64 N 1) (/.f64 (-.f64 (pow.f64 N 4) (.f64 (-.f64 1 N) (-.f64 1 N))) (+.f64 1 (pow.f64 N 3)))) (+.f64 N (fma.f64 N N -1)))
(.f64 (.f64 (/.f64 (+.f64 N 1) (-.f64 (pow.f64 N 4) (*.f64 (-.f64 1 N) (-.f64 1 N)))) (+.f64 1 (pow.f64 N 3))) (+.f64 N (fma.f64 N N -1)))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3))) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (-.f64 1 N) (-.f64 1 N)) (.f64 (*.f64 N N) (-.f64 1 N)))))
(.f64 (/.f64 (+.f64 N 1) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (pow.f64 N 3)))) (+.f64 (pow.f64 N 4) (.f64 (-.f64 1 N) (-.f64 1 (*.f64 (+.f64 N 1) N)))))
(.f64 (.f64 (/.f64 (+.f64 N 1) (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 3))) (+.f64 1 (pow.f64 N 3))) (fma.f64 (-.f64 1 N) (-.f64 1 (fma.f64 N N N)) (pow.f64 N 4)))
(/.f64 1 (/.f64 1 (pow.f64 (+.f64 N 1) 2)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(/.f64 (+.f64 N 1) (/.f64 1 (+.f64 N 1)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(/.f64 (pow.f64 (+.f64 N 1) 2) 1)
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(/.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 N 1)) (+.f64 N 1))))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1) 4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (cbrt.f64 (pow.f64 (+.f64 N 1) 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 N 1)) (+.f64 N 1))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (.f64 (+.f64 N 1) (cbrt.f64 (+.f64 N 1))))
(.f64 (cbrt.f64 (+.f64 N 1)) (.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 (+.f64 N 1) 2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (cbrt.f64 (pow.f64 (+.f64 N 1) 2)))
(/.f64 (fma.f64 N N -1) (/.f64 (*.f64 (+.f64 N -1) (+.f64 N -1)) (fma.f64 N N -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (+.f64 N -1)) (+.f64 N -1))
(.f64 (fma.f64 N N -1) (/.f64 (fma.f64 N N -1) (.f64 (+.f64 N -1) (+.f64 N -1))))
(/.f64 (fma.f64 N N -1) (/.f64 (+.f64 N -1) (+.f64 N 1)))
(*.f64 (/.f64 (fma.f64 N N -1) (+.f64 N -1)) (+.f64 N 1))
(*.f64 (/.f64 (+.f64 N 1) (+.f64 N -1)) (fma.f64 N N -1))
(/.f64 (fma.f64 N N -1) (/.f64 (*.f64 (+.f64 N -1) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (/.f64 (fma.f64 N N -1) (+.f64 N -1)))
(.f64 (fma.f64 N N -1) (/.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N -1))))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (*.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))))
(.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (+.f64 N 1))
(*.f64 (/.f64 (+.f64 N 1) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (pow.f64 N 3)))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N -1)) (fma.f64 N N -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (/.f64 (fma.f64 N N -1) (+.f64 N -1)))
(.f64 (fma.f64 N N -1) (/.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N -1))))
(/.f64 (*.f64 (+.f64 N 1) (sqrt.f64 (+.f64 N 1))) (/.f64 1 (sqrt.f64 (+.f64 N 1))))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(/.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (.f64 (+.f64 N -1) (+.f64 N -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (+.f64 N -1)) (+.f64 N -1))
(.f64 (fma.f64 N N -1) (/.f64 (fma.f64 N N -1) (.f64 (+.f64 N -1) (+.f64 N -1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 1 (pow.f64 N 3))) (.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))))
(.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (cbrt.f64 (+.f64 N 1))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (.f64 (+.f64 N 1) (cbrt.f64 (+.f64 N 1))))
(.f64 (cbrt.f64 (+.f64 N 1)) (.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 (+.f64 N 1) 2))))
(/.f64 (*.f64 (+.f64 N 1) (fma.f64 N N -1)) (+.f64 N -1))
(*.f64 (/.f64 (fma.f64 N N -1) (+.f64 N -1)) (+.f64 N 1))
(*.f64 (/.f64 (+.f64 N 1) (+.f64 N -1)) (fma.f64 N N -1))
(/.f64 (*.f64 (+.f64 N 1) (+.f64 1 (pow.f64 N 3))) (fma.f64 N N (-.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (+.f64 N 1))
(*.f64 (/.f64 (+.f64 N 1) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (pow.f64 N 3)))
(/.f64 (*.f64 (fma.f64 N N -1) (+.f64 N 1)) (+.f64 N -1))
(*.f64 (/.f64 (fma.f64 N N -1) (+.f64 N -1)) (+.f64 N 1))
(*.f64 (/.f64 (+.f64 N 1) (+.f64 N -1)) (fma.f64 N N -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 N 1)) (fma.f64 N N (-.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (+.f64 N 1))
(*.f64 (/.f64 (+.f64 N 1) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (pow.f64 N 3)))
(/.f64 (.f64 (fma.f64 N N -1) (+.f64 1 (pow.f64 N 3))) (.f64 (+.f64 N -1) (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (/.f64 (fma.f64 N N -1) (+.f64 N -1)))
(.f64 (fma.f64 N N -1) (/.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N -1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N -1)) (.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 N -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N N (-.f64 1 N))) (/.f64 (fma.f64 N N -1) (+.f64 N -1)))
(.f64 (fma.f64 N N -1) (/.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N -1))))
(sqrt.f64 (pow.f64 (+.f64 N 1) 4))
(fabs.f64 (pow.f64 (+.f64 N 1) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 N 1) 2)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 N 1) 2))))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 N 1) 2)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)
(exp.f64 (*.f64 2 (log1p.f64 N)))
(pow.f64 (exp.f64 2) (log1p.f64 N))
(exp.f64 (.f64 (.f64 2 (log1p.f64 N)) 1))
(pow.f64 (exp.f64 2) (log1p.f64 N))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 N 1) 2)))
(+.f64 1 (+.f64 (.f64 N 2) (.f64 N N)))
(pow.f64 (+.f64 N 1) 2)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
✓	0.3b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	16.3b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	N	@	0	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
2.0ms	N	@	inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
2.0ms	N	@	-inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
1.0ms	N	@	0	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`*-commutative`
664×	`unswap-sqr`
498×	`swap-sqr`
424×	`distribute-lft-in`
414×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	244	67
2	2634	67

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/r*`
968×	`associate-/l*`
860×	`distribute-lft-in`
844×	`distribute-rgt-in`
756×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	5448
1	377	4206
2	1593	4050
3	4819	4050

Stop Event

1×	node limit

Counts

140 → 98

Calls

Call 1

Inputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (.f64 -1 N)))))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (.f64 -1 N)))))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (.f64 -1 N)))))
(.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (.f64 -1 N)))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 6)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/6) 4))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/6) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 3/2)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval618.0ms (9.3%)

Compiler: Compiled 31399 to 19622 computations (37.5% saved)

prune197.0ms (3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	926	7	933
Fresh	1	1	2
Picked	1	0	1
Done	2	2	4
Total	930	10	940

Error

0.3b

Counts

940 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
	27.4b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
▶	4.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
	23.8b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (-.f64 N 1))) 1))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
▶	23.8b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N))) 1))
▶	32.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N)) 1))
✓	0.3b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	31.2b	(atan2.f64 1 (+.f64 N 1))
▶	27.1b	(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 254 to 180 computations (29.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
	0.3b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	15.8b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	inf	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
0.0ms	N	@	-inf	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
0.0ms	N	@	0	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
0.0ms	N	@	-inf	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
0.0ms	N	@	0	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`*-commutative`
584×	`unswap-sqr`
472×	`swap-sqr`
412×	`distribute-lft-in`
404×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	242	46
2	2561	46

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 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simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-+r+`
1270×	`associate-+l+`
972×	`unswap-sqr`
562×	`associate-/r/`
538×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	3286
1	338	2950
2	1052	2810
3	4295	2810

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
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(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (*.f64 N N))
0.0ms	N	@	-inf	(atan2.f64 1 (*.f64 N N))
0.0ms	N	@	inf	(atan2.f64 1 (*.f64 N N))

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`add-sqr-sqrt`
918×	`*-un-lft-identity`
868×	`pow1`
846×	`add-cube-cbrt`
838×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	111	13
2	1216	13

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(atan2.f64 1 (*.f64 N N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))))))

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/r*`
914×	`*-commutative`
688×	`associate-*r/`
636×	`associate-r`
484×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	364
1	75	364
2	371	364
3	1705	364
4	3941	364
5	5860	364

Stop Event

1×	node limit

Counts

28 → 18

Calls

Call 1

Inputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(.f64 1 (atan2.f64 1 (.f64 N N)))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))

Outputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(atan2.f64 1 (*.f64 N N))
(.f64 1 (atan2.f64 1 (.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(atan2.f64 1 (*.f64 N N))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(atan2.f64 1 (*.f64 N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(atan2.f64 1 (*.f64 N N))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (*.f64 N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))

localize24.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 N (pow.f64 N 3))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
✓	4.2b	(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))

Compiler

Compiled 60 to 38 computations (36.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
1.0ms	N	@	0	(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
0.0ms	N	@	inf	(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
0.0ms	N	@	inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
0.0ms	N	@	-inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))

rewrite91.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`associate-/r*`
1702×	`associate-/l*`
952×	`associate-/r/`
284×	`add-sqr-sqrt`
276×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	318	75
2	3941	75

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
(-.f64 N (pow.f64 N 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 N (-.f64 1 N)) (neg.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N))) (/.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (-.f64 1 N)) (+.f64 (-.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 2) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (*.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (*.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 -1 (+.f64 -1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2) (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 2) (*.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 -1 (+.f64 -1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 N)) (-.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 N) (pow.f64 N 3)) (/.f64 1 (+.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (+.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (/.f64 1 (/.f64 1 (+.f64 N (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N (pow.f64 N 3)) (-.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (/.f64 1 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 N 6))) (/.f64 (+.f64 N (pow.f64 N 3)) (sqrt.f64 (-.f64 (*.f64 N N) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3/2) (sqrt.f64 N)) (/.f64 1 (-.f64 (sqrt.f64 N) (pow.f64 N 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3)))) (+.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (pow.f64 N 3)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (+.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (sqrt.f64 (+.f64 N (pow.f64 N 3)))) (sqrt.f64 (+.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (cbrt.f64 (+.f64 N (pow.f64 N 3))) (cbrt.f64 (+.f64 N (pow.f64 N 3))))) (cbrt.f64 (+.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (+.f64 1 (*.f64 N N))) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (sqrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))) (sqrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))) (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))) (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (pow.f64 N 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 N (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 N (pow.f64 N 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (neg.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (pow.f64 N 3)))))))

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-+r+`
794×	`+-commutative`
736×	`associate-/l*`
730×	`associate-r`
606×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	493	8849
1	1452	7653
2	7695	7653

Stop Event

1×	node limit

Counts

229 → 275

Calls

Call 1

Inputs
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1))
(+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 0)
(+.f64 (/.f64 N (-.f64 1 N)) (neg.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(+.f64 (neg.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N))) (/.f64 N (-.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1)
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(-.f64 (/.f64 N (-.f64 1 N)) (+.f64 (-.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N)) 1) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))) 2)
(-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 2) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1)) 1))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 -1 N)))
(*.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(*.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1))
(.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 -1 (+.f64 -1 N))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2) (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1))
(.f64 (pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 2) (.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 -1 (+.f64 -1 N))))
(*.f64 (/.f64 -1 (+.f64 -1 N)) (-.f64 N (pow.f64 N 3)))
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(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (/.f64 1 (/.f64 1 (+.f64 N (pow.f64 N 3)))))
(/.f64 (+.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N (pow.f64 N 3)) (-.f64 N (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (/.f64 1 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))
(/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 N (pow.f64 N 3))))
(/.f64 (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (/.f64 (+.f64 N (pow.f64 N 3)) (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))) (/.f64 (+.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 6))) (neg.f64 (+.f64 N (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (+.f64 (pow.f64 N 3/2) (sqrt.f64 N)) (/.f64 1 (-.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(/.f64 (-.f64 (.f64 N N) (.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3)))) (+.f64 N (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (pow.f64 N 3)) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) N) (+.f64 1 (.f64 N N)))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (+.f64 N (pow.f64 N 3)))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (sqrt.f64 (+.f64 N (pow.f64 N 3)))) (sqrt.f64 (+.f64 N (pow.f64 N 3))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) (.f64 (cbrt.f64 (+.f64 N (pow.f64 N 3))) (cbrt.f64 (+.f64 N (pow.f64 N 3))))) (cbrt.f64 (+.f64 N (pow.f64 N 3))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) (+.f64 1 (.f64 N N))) N)
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (sqrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))) (sqrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))) (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))) (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(pow.f64 (-.f64 N (pow.f64 N 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) 2)
(pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 3)
(pow.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2))
(log.f64 (exp.f64 (-.f64 N (pow.f64 N 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (pow.f64 N 3)))))
(cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (pow.f64 N 3))))
(exp.f64 (log.f64 (-.f64 N (pow.f64 N 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (pow.f64 N 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (pow.f64 N 3))))
(fma.f64 1 N (neg.f64 (pow.f64 N 3)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (pow.f64 N 3)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (pow.f64 N 3)))

Outputs
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(pow.f64 (neg.f64 N) 3)
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(pow.f64 (neg.f64 N) 3)
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 0)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(+.f64 (/.f64 N (-.f64 1 N)) (neg.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(+.f64 (neg.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N))) (/.f64 N (-.f64 1 N)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(-.f64 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(-.f64 (/.f64 N (-.f64 1 N)) (+.f64 (-.f64 (/.f64 (pow.f64 N 3) (-.f64 1 N)) 1) 1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))) 2)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 2) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) -1)) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 2) (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))) (+.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))))
(+.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 2) (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))) -1)
(+.f64 -1 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 2) (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 -1 N)))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 N -1)))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(*.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(*.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(*.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (.f64 (sqrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 -1 (+.f64 -1 N))))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 N -1)))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(*.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2) (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))) 1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(.f64 (pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 2) (.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 -1 (+.f64 -1 N))))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 N -1)))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(*.f64 (/.f64 -1 (+.f64 -1 N)) (-.f64 N (pow.f64 N 3)))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 N -1)))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(*.f64 (+.f64 (neg.f64 N) (pow.f64 N 3)) (/.f64 1 (+.f64 -1 N)))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 N -1)))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 N))) (/.f64 (-.f64 N (pow.f64 N 3)) (sqrt.f64 (-.f64 1 N))))
(/.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (sqrt.f64 (-.f64 1 N))) (sqrt.f64 (-.f64 1 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))))
(/.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2))
(.f64 (/.f64 1 (-.f64 1 (.f64 N N))) (*.f64 (-.f64 N (pow.f64 N 3)) (+.f64 N 1)))
(/.f64 (.f64 1 (.f64 (-.f64 N (pow.f64 N 3)) (+.f64 N 1))) (-.f64 1 (*.f64 N N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (/.f64 (-.f64 1 (*.f64 N N)) (+.f64 N 1)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 N 3))) (.f64 (-.f64 N (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N))))
(*.f64 (+.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 (.f64 N N))) (+.f64 N 1))
(/.f64 (.f64 1 (.f64 (-.f64 N (pow.f64 N 3)) (+.f64 N 1))) (-.f64 1 (*.f64 N N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (/.f64 (-.f64 1 (*.f64 N N)) (+.f64 N 1)))
(*.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 (pow.f64 N 3))) (+.f64 1 (fma.f64 N N N)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 N 3))) (.f64 (-.f64 N (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N))))
(*.f64 (+.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 (pow.f64 N 3))))
(*.f64 (/.f64 1 (+.f64 -1 N)) (+.f64 (neg.f64 N) (pow.f64 N 3)))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 -1 (+.f64 N -1)))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) 1) (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (-.f64 1 N)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(*.f64 (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (-.f64 1 N)) (sqrt.f64 (-.f64 N (pow.f64 N 3))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(*.f64 (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))))
(/.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (-.f64 1 N)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
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(.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (-.f64 (pow.f64 N 4) (.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 4))))) (-.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (-.f64 (.f64 N N) (+.f64 (pow.f64 N 6) (pow.f64 N 4)))) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (-.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) (pow.f64 N 4))) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) 3))) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (.f64 (.f64 N N) (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))
(.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (-.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (*.f64 N N)))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) 3))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) 3)) (fma.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 4) (*.f64 N N))) (pow.f64 N 4))))
(/.f64 N (/.f64 1 (-.f64 1 (*.f64 N N))))
(-.f64 N (pow.f64 N 3))
(/.f64 (-.f64 N (pow.f64 N 3)) 1)
(-.f64 N (pow.f64 N 3))
(/.f64 1 (/.f64 1 (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 1 (sqrt.f64 (-.f64 N (pow.f64 N 3)))))
(-.f64 N (pow.f64 N 3))
(/.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 2)))
(-.f64 N (pow.f64 N 3))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 2) (/.f64 1 (cbrt.f64 (-.f64 N (pow.f64 N 3)))))
(-.f64 N (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (+.f64 N (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (/.f64 1 (/.f64 1 (+.f64 N (pow.f64 N 3)))))
(-.f64 N (pow.f64 N 3))
(/.f64 (+.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N (pow.f64 N 3)) (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (/.f64 1 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(/.f64 (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (/.f64 (+.f64 N (pow.f64 N 3)) (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (+.f64 N (pow.f64 N 3))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 N 6))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)))) (+.f64 N (pow.f64 N 3)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))) (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))) (/.f64 (+.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))) (+.f64 N (pow.f64 N 3))) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 N 6))))
(/.f64 (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6))) (/.f64 (/.f64 (+.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 (.f64 N N) (pow.f64 N 6)))) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))) (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)))) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (/.f64 (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 6))) (neg.f64 (+.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(/.f64 (+.f64 (pow.f64 N 3/2) (sqrt.f64 N)) (/.f64 1 (-.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (+.f64 (pow.f64 N 3/2) (sqrt.f64 N)) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(/.f64 (-.f64 (.f64 N N) (.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3)))) (+.f64 N (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (pow.f64 N 3)) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 (neg.f64 N) 3) 3)) (fma.f64 N N (-.f64 (pow.f64 N 6) (*.f64 N (pow.f64 (neg.f64 N) 3)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 3)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 3)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) N) (+.f64 1 (.f64 N N)))
(-.f64 N (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (+.f64 N (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (sqrt.f64 (+.f64 N (pow.f64 N 3)))) (sqrt.f64 (+.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) (.f64 (cbrt.f64 (+.f64 N (pow.f64 N 3))) (cbrt.f64 (+.f64 N (pow.f64 N 3))))) (cbrt.f64 (+.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 6)) (+.f64 1 (.f64 N N))) N)
(-.f64 N (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (sqrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))) (sqrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))) (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))) (cbrt.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (+.f64 (pow.f64 N 4) (fma.f64 N N (pow.f64 N 6))))
(pow.f64 (-.f64 N (pow.f64 N 3)) 1)
(-.f64 N (pow.f64 N 3))
(pow.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) 2)
(-.f64 N (pow.f64 N 3))
(pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 3)
(-.f64 N (pow.f64 N 3))
(pow.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3) 1/3)
(-.f64 N (pow.f64 N 3))
(sqrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2))
(fabs.f64 (-.f64 N (pow.f64 N 3)))
(log.f64 (exp.f64 (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (pow.f64 N 3)))))
(-.f64 N (pow.f64 N 3))
(cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3))
(-.f64 N (pow.f64 N 3))
(expm1.f64 (log1p.f64 (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(exp.f64 (log.f64 (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(exp.f64 (*.f64 (log.f64 (-.f64 N (pow.f64 N 3))) 1))
(-.f64 N (pow.f64 N 3))
(log1p.f64 (expm1.f64 (-.f64 N (pow.f64 N 3))))
(-.f64 N (pow.f64 N 3))
(fma.f64 1 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 N (-.f64 (pow.f64 N 3) N))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N))) 1))
✓	0.3b	(/.f64 1 (*.f64 N (-.f64 N 1)))
✓	33.0b	(.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N)))

Compiler

Compiled 97 to 62 computations (36.1% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(*.f64 N (-.f64 (pow.f64 N 3) N))
0.0ms	N	@	0	(*.f64 N (-.f64 (pow.f64 N 3) N))
0.0ms	N	@	0	(.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N)))
0.0ms	N	@	inf	(/.f64 1 (*.f64 N (-.f64 N 1)))
0.0ms	N	@	inf	(*.f64 N (-.f64 (pow.f64 N 3) N))

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`associate-/l*`
1236×	`distribute-lft-in`
812×	`associate-/r/`
442×	`associate-/l/`
346×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	124
1	383	120
2	4752	120

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N)))
(/.f64 1 (*.f64 N (-.f64 N 1)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N))) 1))
(*.f64 N (-.f64 (pow.f64 N 3) N))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N (/.f64 (-.f64 (pow.f64 N 3) N) (.f64 N (+.f64 N -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N (/.f64 (-.f64 (pow.f64 N 3) N) (.f64 N (+.f64 N -1)))) (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N (/.f64 (-.f64 (pow.f64 N 3) N) (.f64 N (+.f64 N -1)))) (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N (/.f64 (-.f64 (pow.f64 N 3) N) (.f64 N (+.f64 N -1)))) (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (pow.f64 N 3)) (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (neg.f64 N)))))) (#(struct:change 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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 N 3) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 N 3) (pow.f64 (-.f64 (pow.f64 N 3) N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))))

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

952×	`associate-+r+`
708×	`associate-/l*`
706×	`associate-r`
672×	`+-commutative`
604×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	10098
1	1586	8526
2	7062	8526

Stop Event

1×	node limit

Counts

252 → 341

Calls

Call 1

Inputs
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(/.f64 -1 N)
(neg.f64 (+.f64 1 (/.f64 1 N)))
(-.f64 (*.f64 -1 N) (+.f64 1 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 N 2)) (.f64 -1 N)) (+.f64 1 (/.f64 1 N)))
(/.f64 1 (pow.f64 N 2))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (/.f64 1 (pow.f64 N 5)) (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 (pow.f64 N 2))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (/.f64 1 (pow.f64 N 5)) (/.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 N 4) (.f64 N -1))) (fma.f64 N N (+.f64 1 N)))
(*.f64 (/.f64 (/.f64 1 N) (neg.f64 (fma.f64 N N -1))) (neg.f64 (+.f64 1 N)))
(*.f64 (/.f64 (/.f64 1 N) (neg.f64 (+.f64 (pow.f64 N 3) -1))) (neg.f64 (fma.f64 N N (+.f64 1 N))))
(*.f64 (/.f64 (/.f64 (/.f64 1 N) (sqrt.f64 (+.f64 N -1))) (sqrt.f64 (+.f64 (pow.f64 N 3) -1))) (sqrt.f64 (fma.f64 N N (+.f64 1 N))))
(*.f64 (/.f64 (/.f64 (/.f64 1 N) (sqrt.f64 (+.f64 N -1))) (sqrt.f64 (fma.f64 N N -1))) (sqrt.f64 (+.f64 1 N)))
(*.f64 (/.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 (+.f64 N -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) -1))) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(*.f64 (/.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 (+.f64 N -1)) 2)) (cbrt.f64 (fma.f64 N N -1))) (cbrt.f64 (+.f64 1 N)))
(pow.f64 (*.f64 N (+.f64 N -1)) -1)
(pow.f64 (/.f64 1 (*.f64 N (+.f64 N -1))) 1)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 N (+.f64 N -1)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 N (+.f64 N -1)) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N -1)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 N (+.f64 N -1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 N (+.f64 N -1))))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 N (+.f64 N -1)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 N (+.f64 N -1)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 N (+.f64 N -1)))))
(exp.f64 (.f64 (log.f64 (.f64 N (+.f64 N -1))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 N (+.f64 N -1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 N (+.f64 N -1)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)))) 1)
(.f64 1 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)))
(.f64 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)) 1)
(.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(exp.f64 (.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (pow.f64 N 4) (*.f64 N (neg.f64 N)))
(+.f64 (pow.f64 N 4) (*.f64 (neg.f64 N) N))
(+.f64 (pow.f64 N 4) (.f64 1 (.f64 N (neg.f64 N))))
(+.f64 (pow.f64 N 4) (.f64 1 (.f64 (neg.f64 N) N)))
(+.f64 (pow.f64 N 4) (.f64 N (.f64 (neg.f64 N) 1)))
(+.f64 (*.f64 N (neg.f64 N)) (pow.f64 N 4))
(+.f64 (*.f64 (neg.f64 N) N) (pow.f64 N 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))) 1)
(/.f64 1 (/.f64 1 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(/.f64 N (/.f64 1 (-.f64 (pow.f64 N 3) N)))
(/.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 N))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1)
(/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) N)))
(/.f64 (sqrt.f64 N) (/.f64 1 (*.f64 (sqrt.f64 N) (-.f64 (pow.f64 N 3) N))))
(/.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (/.f64 1 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) N)))
(/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 1 (*.f64 (cbrt.f64 N) (-.f64 (pow.f64 N 3) N))))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N N)) (/.f64 (+.f64 N (pow.f64 N 3)) N))
(/.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) (/.f64 (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))) N))
(/.f64 (*.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N))) (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 N 3) N))))
(/.f64 (*.f64 N (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 N 3) N))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(/.f64 (.f64 N (-.f64 (pow.f64 N 6) (.f64 N N))) (+.f64 N (pow.f64 N 3)))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 9) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))
(/.f64 (.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) N) (+.f64 N (pow.f64 N 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) N) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))
(pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1)
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) 2)
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) 3)
(pow.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 N 3) N)) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))))
(cbrt.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (-.f64 (pow.f64 N 3) N) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(exp.f64 (log.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(exp.f64 (.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))

Outputs
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(/.f64 -1 N)
(neg.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 -1 (neg.f64 (/.f64 1 N)))
(+.f64 -1 (/.f64 -1 N))
(-.f64 (*.f64 -1 N) (+.f64 1 (/.f64 1 N)))
(-.f64 (neg.f64 N) (+.f64 1 (/.f64 1 N)))
(+.f64 (-.f64 -1 N) (/.f64 -1 N))
(+.f64 (/.f64 -1 N) (-.f64 -1 N))
(-.f64 (+.f64 (.f64 -1 (pow.f64 N 2)) (.f64 -1 N)) (+.f64 1 (/.f64 1 N)))
(-.f64 (.f64 -1 (+.f64 N (.f64 N N))) (+.f64 1 (/.f64 1 N)))
(+.f64 (fma.f64 -1 (fma.f64 N N N) -1) (/.f64 -1 N))
(+.f64 (/.f64 -1 N) (fma.f64 -1 (fma.f64 N N N) -1))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 (/.f64 1 N) N)
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (/.f64 1 (pow.f64 N 5)) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 5))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (/.f64 1 (pow.f64 N 5))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 5)))))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 (/.f64 1 N) N)
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (/.f64 1 (pow.f64 N 5)) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 5))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (/.f64 1 (pow.f64 N 5))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 5)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(*.f64 -1 (pow.f64 N 2))
(*.f64 N (neg.f64 N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
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(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(exp.f64 (.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N) 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1))) (/.f64 N (+.f64 N -1))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (fma.f64 (neg.f64 N) 1 N)))
(*.f64 N (+.f64 (-.f64 (pow.f64 N 3) N) (+.f64 (neg.f64 N) N)))
(.f64 N (+.f64 (-.f64 (pow.f64 N 3) N) (.f64 0 N)))
(+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(*.f64 N (+.f64 (-.f64 (pow.f64 N 3) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(*.f64 N (+.f64 (-.f64 (pow.f64 N 3) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (pow.f64 N 4) (*.f64 N (neg.f64 N)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (pow.f64 N 4) (*.f64 (neg.f64 N) N))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (pow.f64 N 4) (.f64 1 (.f64 N (neg.f64 N))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (pow.f64 N 4) (.f64 1 (.f64 (neg.f64 N) N)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (pow.f64 N 4) (.f64 N (.f64 (neg.f64 N) 1)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 N (neg.f64 N)) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 (neg.f64 N) N) (pow.f64 N 4))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))) 1)
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 1 (/.f64 1 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 N (/.f64 1 (-.f64 (pow.f64 N 3) N)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 N))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1)
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) N)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) 1) (.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) (.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N))))
(/.f64 (sqrt.f64 N) (/.f64 1 (*.f64 (sqrt.f64 N) (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (sqrt.f64 N) 1) (.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))
(.f64 (sqrt.f64 N) (.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))
(/.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (/.f64 1 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) N)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2) 1) (.f64 N (cbrt.f64 (-.f64 (pow.f64 N 3) N))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) (.f64 N (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2)))
(/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 1 (*.f64 (cbrt.f64 N) (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (.f64 (-.f64 (pow.f64 N 3) N) (cbrt.f64 N)))
(.f64 (cbrt.f64 N) (.f64 (-.f64 (pow.f64 N 3) N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N N)) (/.f64 (+.f64 N (pow.f64 N 3)) N))
(.f64 N (/.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) (/.f64 (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))) N))
(/.f64 N (/.f64 (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))) (-.f64 (pow.f64 N 9) (pow.f64 N 3))))
(*.f64 N (/.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4)))))
(/.f64 (*.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N))) (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) 1) (.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 N 3) N)) (.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N))))
(/.f64 (*.f64 N (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2) 1) (.f64 N (cbrt.f64 (-.f64 (pow.f64 N 3) N))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) (.f64 N (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) N)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)))
(.f64 (/.f64 (sqrt.f64 N) 1) (.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))
(.f64 (sqrt.f64 N) (.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (.f64 (-.f64 (pow.f64 N 3) N) (cbrt.f64 N)))
(.f64 (cbrt.f64 N) (.f64 (-.f64 (pow.f64 N 3) N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (.f64 N (-.f64 (pow.f64 N 6) (.f64 N N))) (+.f64 N (pow.f64 N 3)))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N N)) (/.f64 (+.f64 N (pow.f64 N 3)) N))
(.f64 N (/.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 9) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))
(/.f64 N (/.f64 (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))) (-.f64 (pow.f64 N 9) (pow.f64 N 3))))
(*.f64 N (/.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) N) (+.f64 N (pow.f64 N 3)))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N N)) (/.f64 (+.f64 N (pow.f64 N 3)) N))
(.f64 N (/.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) N) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))
(/.f64 N (/.f64 (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))) (-.f64 (pow.f64 N 9) (pow.f64 N 3))))
(*.f64 N (/.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4)))))
(pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1)
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) 2)
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) 3)
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(pow.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3) 1/3)
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 2))
(fabs.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 N 3) N)) N))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(cbrt.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (-.f64 (pow.f64 N 3) N) 3)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 3) (pow.f64 N 3)))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(expm1.f64 (log1p.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(exp.f64 (log.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(exp.f64 (.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(fma.f64 N (neg.f64 N) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sqrt.f64 N) (+.f64 1 N))
✓	0.1b	(.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N)) 1))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(*.f64 (sqrt.f64 N) (+.f64 1 N))
1.0ms	N	@	-inf	(.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N))
1.0ms	N	@	0	(*.f64 (sqrt.f64 N) (+.f64 1 N))
0.0ms	N	@	inf	(*.f64 (sqrt.f64 N) (+.f64 1 N))
0.0ms	N	@	-inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N)) 1))

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`*-commutative`
892×	`associate-*r/`
672×	`associate-*l/`
574×	`distribute-lft-in`
536×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	295	55
2	3325	55

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N)) 1))
(.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N))
(*.f64 (sqrt.f64 N) (+.f64 1 N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (-.f64 (*.f64 N N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (*.f64 N N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 N (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 N (*.f64 N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 N (*.f64 N N)) 2) (+.f64 N (-.f64 (*.f64 N N) 1))) (+.f64 (/.f64 1 (+.f64 N (-.f64 (*.f64 N N) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 N N) (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 N (/.f64 1 (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (-.f64 (*.f64 N N) 1)) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (neg.f64 (-.f64 1 (*.f64 N N)))) (neg.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (+.f64 -1 (neg.f64 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N)))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (-.f64 N (pow.f64 N 3))) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3))) (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 N N) 1) N) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 N N))) N) (neg.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 N 3))) N) (+.f64 -1 (neg.f64 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) (sqrt.f64 N)) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (sqrt.f64 N)) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (pow.f64 N 3)) (sqrt.f64 N)) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) (sqrt.f64 N)) (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 N (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 N (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 N (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 N (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 N (*.f64 N N))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 N) (pow.f64 N 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N 3/2) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 N))) (-.f64 1 (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 N 3/2) (exp.f64 (log1p.f64 (sqrt.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 N) (/.f64 1 (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 N N)) (/.f64 (-.f64 1 N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 N N) N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (pow.f64 N 3)) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N)))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3))) (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (-.f64 (*.f64 N N) 1)) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (neg.f64 (-.f64 1 (*.f64 N N)))) (neg.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 N) (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (+.f64 -1 (neg.f64 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 (pow.f64 N 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (sqrt.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 N 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) (cbrt.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 N N) 1) (sqrt.f64 N)) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 N N))) (sqrt.f64 N)) (neg.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 N 3))) (sqrt.f64 N)) (+.f64 -1 (neg.f64 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) 1) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) 1) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (pow.f64 N 3)) 1) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) 1) (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 N 3))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 N N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N)))) (sqrt.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) 1) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) (sqrt.f64 (-.f64 1 N))) (sqrt.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) (*.f64 (cbrt.f64 (-.f64 1 N)) (cbrt.f64 (-.f64 1 N)))) (cbrt.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) 1) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 N)) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 N) (pow.f64 N 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) 1 (pow.f64 N 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N 1/4) (pow.f64 N 1/4) (pow.f64 N 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (cbrt.f64 (sqrt.f64 N)) (pow.f64 N 3/2))))))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-/l*`
1198×	`distribute-lft-in`
1092×	`distribute-rgt-in`
852×	`associate-/r*`
782×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3643
1	710	3503
2	2818	3459

Stop Event

1×	node limit

Counts

133 → 167

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 -1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))) 1)
(.f64 1 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N)))))
(.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N)))) 1)
(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N)))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(+.f64 1 (+.f64 N (-.f64 (*.f64 N N) 1)))
(+.f64 N (*.f64 N N))
(+.f64 (+.f64 N (*.f64 N N)) 0)
(+.f64 (*.f64 N N) N)
(-.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))
(-.f64 (+.f64 1 (+.f64 N (*.f64 N N))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 N (*.f64 N N))))) 2)
(-.f64 (/.f64 (pow.f64 (+.f64 N (.f64 N N)) 2) (+.f64 N (-.f64 (.f64 N N) 1))) (+.f64 (/.f64 1 (+.f64 N (-.f64 (*.f64 N N) 1))) 1))
(-.f64 (+.f64 (*.f64 N N) (+.f64 1 N)) 1)
(/.f64 N (/.f64 1 (+.f64 1 N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (.f64 N N) N)))
(/.f64 (.f64 N (-.f64 (.f64 N N) 1)) (-.f64 N 1))
(/.f64 (.f64 N (neg.f64 (-.f64 1 (.f64 N N)))) (neg.f64 (-.f64 1 N)))
(/.f64 (.f64 N (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (+.f64 -1 (neg.f64 (-.f64 (.f64 N N) N))))
(/.f64 (.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N)))) (-.f64 1 N))
(/.f64 (.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (sqrt.f64 N) (-.f64 N (pow.f64 N 3))) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(/.f64 (.f64 (sqrt.f64 N) (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3))) (+.f64 N (-.f64 (pow.f64 N 3) (.f64 N N))))
(/.f64 (.f64 (-.f64 1 (.f64 N N)) N) (-.f64 1 N))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (.f64 N N) N)))
(/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1))
(/.f64 (.f64 (neg.f64 (-.f64 1 (.f64 N N))) N) (neg.f64 (-.f64 1 N)))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 N 3))) N) (+.f64 -1 (neg.f64 (-.f64 (.f64 N N) N))))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) (sqrt.f64 N)) (-.f64 1 N))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (sqrt.f64 N)) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (-.f64 N (pow.f64 N 3)) (sqrt.f64 N)) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) (sqrt.f64 N)) (+.f64 N (-.f64 (pow.f64 N 3) (.f64 N N))))
(pow.f64 (+.f64 N (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (+.f64 N (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) 3)
(pow.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 2))
(log.f64 (exp.f64 (+.f64 N (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (*.f64 N N)))))
(cbrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (+.f64 N (*.f64 N N))))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 N (*.f64 N N))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(+.f64 (pow.f64 N 3/2) (sqrt.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 N))) (-.f64 1 (pow.f64 N 3/2)))
(-.f64 (+.f64 (pow.f64 N 3/2) (exp.f64 (log1p.f64 (sqrt.f64 N)))) 1)
(/.f64 (sqrt.f64 N) (/.f64 1 (+.f64 1 N)))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (-.f64 1 N) (sqrt.f64 N)))
(/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 N N) N)) (sqrt.f64 N)))
(/.f64 (.f64 (sqrt.f64 N) (-.f64 1 (.f64 N N))) (-.f64 1 N))
(/.f64 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (.f64 N N) N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(/.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))))
(/.f64 (.f64 1 (.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N)))) (-.f64 1 N))
(/.f64 (.f64 1 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (.f64 1 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3))) (+.f64 N (-.f64 (pow.f64 N 3) (.f64 N N))))
(/.f64 (.f64 (sqrt.f64 N) (-.f64 (.f64 N N) 1)) (-.f64 N 1))
(/.f64 (.f64 (sqrt.f64 N) (neg.f64 (-.f64 1 (.f64 N N)))) (neg.f64 (-.f64 1 N)))
(/.f64 (.f64 (sqrt.f64 N) (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (+.f64 -1 (neg.f64 (-.f64 (.f64 N N) N))))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 (pow.f64 N 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (sqrt.f64 (-.f64 1 N)))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 N 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) (cbrt.f64 (-.f64 1 N)))
(/.f64 (.f64 (-.f64 (.f64 N N) 1) (sqrt.f64 N)) (-.f64 N 1))
(/.f64 (.f64 (neg.f64 (-.f64 1 (.f64 N N))) (sqrt.f64 N)) (neg.f64 (-.f64 1 N)))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 N 3))) (sqrt.f64 N)) (+.f64 -1 (neg.f64 (-.f64 (.f64 N N) N))))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N))) 1) (-.f64 1 N))
(/.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) 1) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (-.f64 N (pow.f64 N 3)) 1) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) 1) (+.f64 N (-.f64 (pow.f64 N 3) (.f64 N N))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 N 3))) (.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 N N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N)))) (sqrt.f64 (-.f64 1 N)))
(/.f64 (/.f64 (.f64 (sqrt.f64 N) (-.f64 1 (.f64 N N))) 1) (-.f64 1 N))
(/.f64 (/.f64 (.f64 (sqrt.f64 N) (-.f64 1 (.f64 N N))) (sqrt.f64 (-.f64 1 N))) (sqrt.f64 (-.f64 1 N)))
(/.f64 (/.f64 (.f64 (sqrt.f64 N) (-.f64 1 (.f64 N N))) (*.f64 (cbrt.f64 (-.f64 1 N)) (cbrt.f64 (-.f64 1 N)))) (cbrt.f64 (-.f64 1 N)))
(/.f64 (/.f64 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) 1) (+.f64 1 (-.f64 (.f64 N N) N)))
(/.f64 (/.f64 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 N N) N)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))
(/.f64 (/.f64 (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3))) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 N N) N))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 N N) N))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))))
(pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3) 1/3)
(sqrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 N)) (sqrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 N)) (log1p.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(fma.f64 1 (sqrt.f64 N) (pow.f64 N 3/2))
(fma.f64 (sqrt.f64 N) 1 (pow.f64 N 3/2))
(fma.f64 (pow.f64 N 1/4) (pow.f64 N 1/4) (pow.f64 N 3/2))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (sqrt.f64 N)) (pow.f64 N 3/2))

Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (.f64 -1 (.f64 N (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 N N)
(+.f64 (.f64 -1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
(+.f64 (.f64 -1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
(+.f64 (.f64 -1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 1 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N)))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (.f64 N N)))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 1 (+.f64 N (-.f64 (*.f64 N N) 1)))
(fma.f64 N N N)
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 (+.f64 N (*.f64 N N)) 0)
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(-.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))
(fma.f64 N N N)
(-.f64 (+.f64 1 (+.f64 N (*.f64 N N))) 1)
(fma.f64 N N N)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 N (*.f64 N N))))) 2)
(fma.f64 N N N)
(-.f64 (/.f64 (pow.f64 (+.f64 N (.f64 N N)) 2) (+.f64 N (-.f64 (.f64 N N) 1))) (+.f64 (/.f64 1 (+.f64 N (-.f64 (*.f64 N N) 1))) 1))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) (+.f64 1 (/.f64 1 (+.f64 N (fma.f64 N N -1)))))
(-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) 1) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(-.f64 (+.f64 (*.f64 N N) (+.f64 1 N)) 1)
(fma.f64 N N N)
(/.f64 N (/.f64 1 (+.f64 1 N)))
(fma.f64 N N N)
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (.f64 N N) N)))
(/.f64 N (/.f64 (+.f64 1 (fma.f64 N N (neg.f64 N))) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (.f64 N (-.f64 (.f64 N N) 1)) (-.f64 N 1))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (.f64 N (neg.f64 (-.f64 1 (.f64 N N)))) (neg.f64 (-.f64 1 N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (.f64 N (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (+.f64 -1 (neg.f64 (-.f64 (.f64 N N) N))))
(/.f64 (-.f64 -1 (pow.f64 N 3)) (/.f64 (-.f64 -1 (fma.f64 N N (neg.f64 N))) N))
(/.f64 (-.f64 -1 (pow.f64 N 3)) (/.f64 (+.f64 (-.f64 -1 (*.f64 N N)) N) N))
(/.f64 (-.f64 -1 (pow.f64 N 3)) (/.f64 (-.f64 -1 (*.f64 N (+.f64 N -1))) N))
(/.f64 (.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (-.f64 1 (*.f64 N N)))) (-.f64 1 N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 N (/.f64 (+.f64 1 (fma.f64 N N (neg.f64 N))) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (sqrt.f64 N) (-.f64 N (pow.f64 N 3))) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(/.f64 (*.f64 (-.f64 N (pow.f64 N 3)) (sqrt.f64 N)) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 (sqrt.f64 N) (-.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(/.f64 (.f64 (sqrt.f64 N) (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3))) (+.f64 N (-.f64 (pow.f64 N 3) (.f64 N N))))
(/.f64 (sqrt.f64 N) (/.f64 (+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N))) (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3))))
(/.f64 (sqrt.f64 N) (/.f64 (+.f64 N (-.f64 (pow.f64 N 3) (.f64 N N))) (.f64 (+.f64 1 (pow.f64 N 3)) (pow.f64 N 3/2))))
(.f64 (+.f64 (pow.f64 N 3/2) (pow.f64 (pow.f64 N 3/2) 3)) (/.f64 (sqrt.f64 N) (-.f64 (pow.f64 N 3) (.f64 N (+.f64 N -1)))))
(/.f64 (.f64 (-.f64 1 (.f64 N N)) N) (-.f64 1 N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (.f64 N N) N)))
(/.f64 N (/.f64 (+.f64 1 (fma.f64 N N (neg.f64 N))) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
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(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(cbrt.f64 (*.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 N)) (log1p.f64 N)))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(*.f64 (sqrt.f64 N) (exp.f64 (log1p.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(fma.f64 1 (sqrt.f64 N) (pow.f64 N 3/2))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(fma.f64 (sqrt.f64 N) 1 (pow.f64 N 3/2))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(fma.f64 (pow.f64 N 1/4) (pow.f64 N 1/4) (pow.f64 N 3/2))
(+.f64 (pow.f64 N 3/2) (pow.f64 N 1/2))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (sqrt.f64 N)) (pow.f64 N 3/2))

eval432.0ms (6.5%)

Compiler: Compiled 26063 to 17295 computations (33.6% saved)

prune211.0ms (3.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	978	6	984
Fresh	1	2	3
Picked	0	1	1
Done	4	2	6
Total	983	11	994

Error

0.3b

Counts

994 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	27.2b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	27.4b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	25.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (pow.f64 N 4)) 1))
✓	32.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N)) 1))
	4.4b	(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
✓	0.3b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	31.2b	(atan2.f64 1 (+.f64 N 1))
	0.3b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
✓	27.1b	(atan2.f64 1 (*.f64 N N))
	0.9b	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))

Compiler

Compiled 149 to 111 computations (25.5% saved)

regimes24.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

Inputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (pow.f64 N 4)) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (.f64 N (-.f64 N 1))) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N))) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (sqrt.f64 N) (+.f64 1 N)) (sqrt.f64 N)) 1))
(atan2.f64 (+.f64 N (-.f64 1 N)) (-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (.f64 N N))))))
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N))))))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))

Outputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))

Calls

2 calls:

11.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.3b	1	`N`
0.3b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 355 to 231 computations (34.9% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.3b	1	`N`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes10.0ms (0.2%)

Accuracy

Total -54.6b remaining (-2649.1%)

Threshold costs -54.6b (-2649.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) 1)

Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 N N))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.1b	3	`N`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.02670273665287328	5721.276660820247
20.0ms	-9114.75672134547	-0.00047081629858354524

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 264 to 207 computations (21.6% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	126
1	41	126
2	45	126
3	47	126
4	48	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(atan2.f64 1 (*.f64 N N))

Outputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 1 (+.f64 N (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3715469692580659/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 50 to 36 computations (28% saved)

soundness75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*r/`
1096×	`associate-*l/`
928×	`+-commutative`
868×	`associate-+l-`
706×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8295
1	880	7553
2	4352	7553

Stop Event

1×	node limit

Compiler

Compiled 87 to 51 computations (41.4% saved)

end31.0ms (0.5%)

Compiler: Compiled 47 to 31 computations (34% saved)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Details

analyze0.0ms (0%)

sample1.7s (26.3%)

preprocess11.0ms (0.2%)

simplify24.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite128.0ms (1.9%)

simplify143.0ms (2.2%)

eval124.0ms (1.9%)

prune72.0ms (1.1%)

localize33.0ms (0.5%)

series2.0ms (0%)

rewrite83.0ms (1.3%)

simplify145.0ms (2.2%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite61.0ms (0.9%)

simplify61.0ms (0.9%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite99.0ms (1.5%)

simplify119.0ms (1.8%)

eval293.0ms (4.4%)

prune107.0ms (1.6%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite70.0ms (1.1%)

simplify72.0ms (1.1%)

localize8.0ms (0.1%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (0.8%)

simplify65.0ms (1%)

localize38.0ms (0.6%)

series3.0ms (0%)

rewrite90.0ms (1.4%)

simplify112.0ms (1.7%)

localize19.0ms (0.3%)

series10.0ms (0.1%)

rewrite80.0ms (1.2%)

simplify107.0ms (1.6%)

eval618.0ms (9.3%)

prune197.0ms (3%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

rewrite72.0ms (1.1%)

simplify70.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite45.0ms (0.7%)

simplify57.0ms (0.9%)

localize24.0ms (0.4%)

series3.0ms (0.1%)

rewrite91.0ms (1.4%)

simplify108.0ms (1.6%)

localize35.0ms (0.5%)

series4.0ms (0.1%)

rewrite99.0ms (1.5%)

simplify117.0ms (1.8%)

localize19.0ms (0.3%)

series6.0ms (0.1%)

rewrite69.0ms (1%)

simplify63.0ms (1%)

eval432.0ms (6.5%)

prune211.0ms (3.2%)

regimes24.0ms (0.4%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch40.0ms (0.6%)

simplify10.0ms (0.2%)

soundness75.0ms (1.1%)

end31.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21